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Finding the Fourth Proportional to 295,117.92, 442,675.92 and 176,824.80

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Solution

The fourth proportional to 295,117.92, 442,675.92 and 176,824.80 is: 265,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,117.92 : 442,675.92 = 176,824.80 : x
  2. Step 2: Convert to fraction form
    295,117.92/442,675.92 = 176,824.80/x
  3. Step 3: Cross multiply
    295,117.92x = 442,675.92 × 176,824.80
  4. Step 4: Simplify right side
    295,117.92x = 78,276,081,018.82
  5. Step 5: Solve for x
    x = 78,276,081,018.82/295,117.92
  6. Step 6: Final answer
    x = 265,236.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.